Lightning skill damage does NOT affect TF procs, I've tested this myself. Watched the proc numbers for a while, then slapped on 25% +lightning% gear(no dex) and watched for the max to increase. It never did. So you can probably extrapolate that to any other proc that does XXX% weapon damage. Only exception being Odyn Son, I think, since it mentions specifically a skill. But the amount of +lightning% you'd need just to overcome that shitty hit modifier means it will never be as good as TF or SoH.
What's your bnet page? Been trying to find a lightning build that works. I think it has the right mix of utility and damage with LTK-SS, but the overall dps seems lacking unless you take sweeping winds.